Characteristics
Transformations
Domain and Range
Solutions
Miscellaneous
100
What is another name for a solution?
x-intercept, root, or zero
100
If T(x) = 3x2, how has it been transformed from the parent function?
Vertically Stretched
100
What is the domain for
f(x)=x^2
All Real Numbers!
100
What are the solutions to the following quadratic?
f(x)=(x-1)(x+1)
x = -1, 1
100
What is the slope of the line
y=67x + 22
67
200
What is the name of the polynomial, and the name of the shape that
f(x)=x^2
would be
Quadratic and Parabola
200
List all the ways that T(x) has been transformed from its parent function.
T(x)=-x^2+2
Vertical reflection, and a vertical shift up 2
200
What is the range for
f(x)=x^2
y>=0
200
Which quadratic has a solution at x=-1?
h(x)=x^2+1
g(x)=(x+1)^2
g(x)!
200
How many solutions does
f(x)=x^2+2x+1
have?
1
300
What is the name of the turning point of a parabola?
The Vertex!
300
g(x) is on the graph. What would be a solution to
y=1/2 g(x)
(2, 1/2), (4, 2), or (5, 4)
300
Find the range values of
g(x)=x^2+2
for the domain values {-2, 7}
{6, 51}
300
What are the solutions of the following quadratic?
f(x)=x^2+x-20
x = -5, 4
300
What is the slope of the line
2y-3x=12
3/2
400
What is the Axis of Symmetry?
It is the spot where the parabola can be folded in half and look the same on both sides. Will be written with a "x=" type equation.
400
f(x) = x. The graph of g(x) is obtained by shifting up 1 unit. What would be the equation for g(x)?
g(x) = x + 1
400
True or False:
The range of
y=x^2
is the same as
y=5^x
FALSE!
400
What are the solutions of
f(x)=x^2 + 1
NO REAL SOLUTION!
400
Parabolas/Quadratics can have a maximum of how many real solutions?
2 real solutions maximum!
500
TRUE OR FALSE: If the parabola doesn't hit the x-axis, then there are no real solutions.
TRUE!
500
Transform
f(x)=x^2
so that it has a vertical reflection, vertical compression, and a vertical shift down 3
Teacher Discretion!
500
The Domain of
y=x^2
is the same as
y=2^x
TRUE!
500
What are the solutions of
3x^2-5x=-1
x=(-5 +- sqrt(13))/6
500
If I throw an object, what kind of trajectory would it take?
A parabola's shape!